Viscous singular shock structure for a nonhyperbolic two-fluid model

Barbara Lee Keyfitz*, Michael Sever, Fu Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We consider a system of two nonhyperbolic conservation laws modelling incompressible two-phase flow in one space dimension. The purpose of this paper is to justify the use of singular shocks in the solution of Riemann problems. We prove that both strictly and weakly overcompressive singular shocks are limits of viscous structures. Using Riemann solutions we solve Cauchy problems with piecewise constant data for the nonhyperbolic two-fluid model.

Original languageEnglish
Pages (from-to)1731-1747
Number of pages17
JournalNonlinearity
Volume17
Issue number5
DOIs
StatePublished - Sep 2004

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